47 citations · 309 across the 61 of their papers we have counts for
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The effective Chen ranks conjecture
Marian Aprodu, Gavril Farkas, Claudiu Raicu +1
Koszul modules and their associated resonance schemes are objects appearing in a variety of contexts in algebraic geometry, topology, and combinatorics. We present a proof of an ef…
Secant loci on moduli of Prym varieties
Gavril Farkas, Margherita Lelli-Chiesa
We present a Prym analogue of Lazarsfeld's result that curves on general polarized K3 surfaces verify the Brill-Noether Theorem, or equivalently, that their canonical embedding has…
Hurwitz-Brill-Noether theory via K3 surfaces and stability conditions
Gavril Farkas, Soheyla Feyzbakhsh, Andrés Rojas
We develop a novel approach to the Brill-Noether theory of curves endowed with a degree k cover of the projective line via Bridgeland stability conditions on elliptic K3 surfaces.…